Search a number
-
+
96037344 = 253213113227
BaseRepresentation
bin1011011100101…
…10100111100000
320200201012110200
411232112213200
5144041143334
613310225200
72244206154
oct556264740
9220635420
1096037344
114a235307
12281b5200
1316b86c40
14ca7d064
158670799
hex5b969e0

96037344 has 144 divisors (see below), whose sum is σ = 298024272. Its totient is φ = 29159424.

The previous prime is 96037339. The next prime is 96037387. The reversal of 96037344 is 44373069.

96037344 is a `hidden beast` number, since 9 + 603 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96037299 and 96037308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422959 + ... + 423185.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 296037344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96037344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149012136).

96037344 is an abundant number, since it is smaller than the sum of its proper divisors (201986928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96037344 is a wasteful number, since it uses less digits than its factorization.

96037344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 96037344 is about 9799.8644888590. The cubic root of 96037344 is about 457.9450618364.

The spelling of 96037344 in words is "ninety-six million, thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 113 117 144 156 208 226 227 234 288 312 339 416 452 454 468 624 678 681 904 908 936 1017 1248 1356 1362 1469 1808 1816 1872 2034 2043 2712 2724 2938 2951 3616 3632 3744 4068 4086 4407 5424 5448 5876 5902 7264 8136 8172 8814 8853 10848 10896 11752 11804 13221 16272 16344 17628 17706 21792 23504 23608 25651 26442 26559 32544 32688 35256 35412 47008 47216 51302 52884 53118 65376 70512 70824 76953 94432 102604 105768 106236 141024 141648 153906 205208 211536 212472 230859 283296 307812 333463 410416 423072 424944 461718 615624 666926 820832 849888 923436 1000389 1231248 1333852 1846872 2000778 2462496 2667704 3001167 3693744 4001556 5335408 6002334 7387488 8003112 10670816 12004668 16006224 24009336 32012448 48018672 96037344